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Finding the Fourth Proportional to 54,978.40, 82,456.80 and 18,042.40

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Solution

The fourth proportional to 54,978.40, 82,456.80 and 18,042.40 is: 27,060.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.40 : 82,456.80 = 18,042.40 : x
  2. Step 2: Convert to fraction form
    54,978.40/82,456.80 = 18,042.40/x
  3. Step 3: Cross multiply
    54,978.40x = 82,456.80 × 18,042.40
  4. Step 4: Simplify right side
    54,978.40x = 1,487,718,568.32
  5. Step 5: Solve for x
    x = 1,487,718,568.32/54,978.40
  6. Step 6: Final answer
    x = 27,060.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.